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Finding the Third Proportional to 203,723 and 305,969

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Solution

The third proportional to 203,723 and 305,969 is: 459,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,723 : 305,969 = 305,969 : x
  2. Step 2: Convert to fraction form
    203,723/305,969 = 305,969/x
  3. Step 3: Cross multiply
    203,723x = 305,969 × 305,969
  4. Step 4: Simplify right side
    203,723x = 93,617,028,961
  5. Step 5: Solve for x
    x = 93,617,028,961/203,723
  6. Step 6: Final answer
    x = 459,530.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.